The Stiefel bundle of a Banach algebra

DOI10.1007/BF01203172zbMath0997.46047MaRDI QIDQ5952396

James F. Glazebrook, Maurice J. Dupré

Publication date: 5 November 2002

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

zbMATH Keywords

Banach algebraGrassmanniansmooth extensionanalytic principal bundleanalytic structureBanachable algebrafibre bundleglobally smooth familypartial isomorphismssmooth extension of sectionssmooth parametrizationStiefel bundle

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) General theory of topological algebras (46H05) Group structures and generalizations on infinite-dimensional manifolds (58B25)

Related Items (9)

Differential algebras with Banach-algebra coefficients. I: From \(C^*\)-algebras to the \(K\)-theory of the spectral curve ⋮ A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators ⋮ Differential algebras with Banach-algebra coefficients. II: The operator cross-ratio tau-function and the Schwarzian derivative ⋮ Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions ⋮ Linear connections for reproducing kernels on vector bundles ⋮ Universal objects in categories of reproducing kernels ⋮ The geometry of Kato Grassmannians ⋮ GEOMETRIC CHARACTERIZATION OF HERMITIAN ALGEBRAS WITH CONTINUOUS INVERSION ⋮ Banach algebras associated to Lax pairs

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